Burgers方程初边值问题的Laguerre函数谱配置方法
Laguerre function spectral collocation method for the initial-boundary value problem of the Burgers equation
张银柯 1张雅津1
作者信息
- 1. 河南科技大学数学与统计学院,河南洛阳 471003
- 折叠
摘要
以Laguerre-Gauss节点为配置点,用谱配置方法求解具有初边值的Burgers方程的数值解,并在时间方向运用Crank-Nicolson格式离散,给出算法格式,通过数值运算表明算法格式的有效性和高精度.
Abstract
Using Laguerre-Gauss nodes as collocation points,the spectral collocation method is applied to obtain the numerical solution of the Burgers equation with initial-boundary conditions.The Crank-Nicolson scheme is employed for time discretization and the algorithm's formulation is provided.The effectiveness and high precision of the algorithm scheme are demonstrated by numerical calculation.
关键词
Burgers方程/Laguerre多项式/谱配置方法/Crank-Nicolson格式Key words
Burgers equation/Laguerre polynomial/spectral collocation method/Crank-Nicolson scheme引用本文复制引用
出版年
2025
国家科技期刊平台
NSTL
万方数据